how to generate barcode in c# windows application Puzzle 7: Escaping a Cave in C#.NET

Drawing Denso QR Bar Code in C#.NET Puzzle 7: Escaping a Cave

Puzzle 7: Escaping a Cave
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First, climb one of the ropes and cut it at the halfway point. You now have 20 feet of rope in your hand, you re hanging on to the 20-foot rope anchored to the ceiling, and you re 20 feet above the oor. Make a knot at the edge of the hanging rope to form a small loop. (For the purpose of simpli cation, we ll assume that knots don t affect the length of the rope.) Slide the 20-foot rope through the loop to its middle point (the 10-foot mark). Now, you have a 20-foot rope hanging from the ceiling, plus another 10-foot segment (20 feet, doubled up), amounting to 30 feet in total. You can now shimmy down the rope, and when you reach the end of the doubled-up segment, let go of one end of it and let it slide through the loop as you jump down. You now have a 20-foot rope in hand. Next, carrying this 20-foot rope, climb the second rope and cut it when you re 10 feet from the ceiling (or 30 feet above the oor). Tie the resulting 30-foot rope to the end of your 20-foot rope to form a 50-foot rope. Again, make a loop at the end of the hanging 10-foot rope and slide the 50-foot rope through the loop to its middle point. In total, you have 35 feet of rope made by the two segments (10 feet of hanging rope plus 25 feet made by the
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Appendix A
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Logic Puzzles
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doubled-up 50-foot rope). You can now shimmy down the rope, and when you get to the end of the rope (5 feet above the oor), hold one of its ends and jump down. You now have a rope that s 50 feet in length, and you can use it to get down from the cave to the climbable surface.
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Puzzle 8: Free Tuna
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Obviously, you can t divide the eight tuna cans into three separate plastic bags so that each holds an odd number of cans. However, nothing in the puzzle dictates the arrangement of the bags around the tuna cans. The sum of three odd numbers x+y+z, where each number is considered only once, naturally amounts to an odd number. However, taking one of the odd numbers into consideration twice allows for an arrangement in which one of the elements is even (say, y) for example, (x+(y))+(z) = 8. The use of parentheses is intentional each pair of parentheses represents a plastic bag. For example, let x equal 1, y equal 2, and z equal 5: You place 1 tuna can in plastic bag A, 2 tuna cans in plastic bag B, and 5 tuna cans in plastic bag C. Then, place plastic bag A in plastic bag B. You end up with 1 tuna can in bag A, 3 in B (x+y), and 5 in C. As an aside, if you like trying to solve open puzzles, the tuna cans puzzle reminds me of a mathematical conjecture that so far hasn t been proven. The conjecture, which is called Goldbach s conjecture, is named after its creator. The original conjecture says: Every integer greater than ve can be expressed as the sum of three prime numbers. Euler simpli ed the conjecture to this form: Every even number greater than two can be expressed as the sum of two prime numbers.
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Puzzle 9: Naming an Heir
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That son s answer was green, based on the following logical deduction:
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If there were two red hats and one green hat, the son with the green hat would have realized it immediately (by seeing both his brothers wearing red hats) and approached the king at the rst bell ring. Because this didn t happen, there is at most one red hat among the sons. If there was one red hat and two green hats, each of the two sons wearing green hats should have seen his brothers wearing one red and one green hat; therefore, both these brothers could have deduced that they were wearing green hats (because no one approached the king after the rst bell, and there s at most one red hat in such a case) and thus approached the king at the second bell. The son who ultimately gured out the answer reasoned that his brothers weren t stupid, so if no one approached the king at the second bell, they must all be wearing green hats. Of course, this tells you that he saw both his brothers wearing green hats. So, he approached the king at the third bell to say that he was wearing a green hat.
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